Called the Remote Play PC developed by Twisted, this software lets you play PS4 games on your computer.
What the software does is to make the computer believe that a Sony device is attempting to connect using the PS4’s embedded Remote Play feature. This way, the PC accepts the stream and mirrors the game from the console. According to the developer, it will launch on November 25 with a starting fee of $10 (Twisted provided a good explanation why he had to charge for this software).
Be wary, though, that this is unofficial and Sony might make the necessary actions to put a stop to this once it comes to their attention. Still, if you want to give it a try, download at your own risk.
On a related note, Microsoft officially released this same feature on their Xbox One early this year.